List questions from fourier-analysis

Published on 31 Mar 2026 - 16:27

144

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Convolution in $L^2(-\pi ,\pi )$

Published on 27 Mar 2026 - 16:24

72

Views

Transformation from ODE or PDE via operator to "easier form" - what is he background?

Published on 27 Mar 2026 - 19:32

1.1k

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If a function is extended to make it periodic then must the integration limits also be extended?

Published on 27 Mar 2026 - 19:53

169

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Confusion on the Coefficient Formulas for Fourier Series

Published on 25 Mar 2026 - 6:21

178

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Inequality on Fourier transform of indicator function

Published on 27 Mar 2026 - 19:09

517

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What does it means by "integrable on the circle"

Published on 12 Nov 2018 - 7:00

455

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Why does this method fail for finding the Fourier series for $\cos\left(\frac{x}{2}\right)$ on the interval $-\pi \lt x \lt \pi$?

Published on 27 Mar 2026 - 19:55

189

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Spectral density of stochastic partial differential equations

Published on 23 Feb 2026 - 1:03

256

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What are the Fourier Transform of this function?

Published on 30 Mar 2026 - 4:00

211

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Does this oscillatory integral exist?

Published on 25 Mar 2026 - 9:33

42

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Short-time Fourier transform of $f\ast g (y)- f\ast g(x)$?

Published on 27 Mar 2026 - 19:10

1.8k

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Using Parseval's identity to show that $\frac{\pi^2}{8}=1+\frac{1}{3^2}+\frac{1}{5^2}+\frac{1}{7^2}+...$

Published on 15 Nov 2018 - 7:42

69

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Maximum for Fourier transform results in an error

Published on 27 Mar 2026 - 21:05

492

Views

No convolution Identity element in $L^1_{per} $ using Fourier series

Published on 26 Mar 2026 - 2:58

List Question

About Riesz theorem in two dimensions

Convolution in $L^2(-\pi ,\pi )$

Transformation from ODE or PDE via operator to "easier form" - what is he background?

If a function is extended to make it periodic then must the integration limits also be extended?

Confusion on the Coefficient Formulas for Fourier Series

Inequality on Fourier transform of indicator function

What does it means by "integrable on the circle"

Why does this method fail for finding the Fourier series for $\cos\left(\frac{x}{2}\right)$ on the interval $-\pi \lt x \lt \pi$?

Spectral density of stochastic partial differential equations

What are the Fourier Transform of this function?

Does this oscillatory integral exist?

Short-time Fourier transform of $f\ast g (y)- f\ast g(x)$?

Using Parseval's identity to show that $\frac{\pi^2}{8}=1+\frac{1}{3^2}+\frac{1}{5^2}+\frac{1}{7^2}+...$

Maximum for Fourier transform results in an error

No convolution Identity element in $L^1_{per} $ using Fourier series

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